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Finding the Fourth Proportional to 572.30, 856.00 and 417.86

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Solution

The fourth proportional to 572.30, 856.00 and 417.86 is: 625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.30 : 856.00 = 417.86 : x
  2. Step 2: Convert to fraction form
    572.30/856.00 = 417.86/x
  3. Step 3: Cross multiply
    572.30x = 856.00 × 417.86
  4. Step 4: Simplify right side
    572.30x = 357,687.61
  5. Step 5: Solve for x
    x = 357,687.61/572.30
  6. Step 6: Final answer
    x = 625.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.